On a version of the Hua problem

Author: Kirkoryan A.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 0001-4346

Source: Academy of Sciences of the USSR Mathematical Notes, Vol.88, Iss.3-4, 2010-10, pp. : 365-373

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Abstract

We prove that almost all natural numbers n satisfying the congruence n ≡ 3 (mod 24), n ≢ 0 (mod 5), can be expressed as the sum of three squares of primes, at least one of which can be written as 1 + x 2 + y 2.